# Geometry

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Two supplementary angles are in the ratio 7:11. Find the measure of the smaller angle.

• Geometry -

Two Angles are Supplementary if they add up to 180 °

A = smaller angle

B = larger angle

A / B = 7 / 11 Multiply both sides with 11

11 A / B = 7 Multiply both sides with B

11 A = 7 B Divide both sides with 11

A = ( 7 / 11 ) B

A + B = 180 °

( 7 / 11 ) B + B = 180 °

( 7 / 11 ) B + ( 11 / 11 ) B = 180°

( 18 / 11 ) B = 180 °

18 B = 180 ° * 11 Divide both sides with 18

18 B / 18 = 180 ° / 18 * 11

B = 10 ° * 11

B = 110 °

A = ( 7 / 11 ) B

A = ( 7 / 11 ) * 110

A = 770 / 11

A = 70 °

The smaller angle = 70 °

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